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514495232768 + 1
|Description:||514495232768 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||Generalized Fermat|
|Proof-code(s): (*):||p347 : Vogel, GeneFer, AthGFNSieve, PrimeGrid, OpenPFGW|
|Decimal Digits:||219919 (log10 is 219918.54333469)|
|Rank (*):||23719 (digit rank is 1)|
|Entrance Rank (*):||4993|
|Currently on list? (*):||no|
|Submitted:||3/24/2012 08:07:58 CDT|
|Last modified:||3/24/2012 09:50:25 CDT|
|Removed (*):||3/24/2012 19:55:45 CDT|
|Score (*):||41.9804 (normalized score 0.092)|
There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper. Such primes are tracked with archival tags.
The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions. We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
field value prime_id 105801 person_id 9 machine Ditto P4 P4 what prime notes Command: /home/ditto/client/pfgw -t -q"5144952^32768+1" 2>&1 PFGW Version 18.104.22.168BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 5144952^32768+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 79.43% 5144952^32768+1 is prime! (5799.7192s+0.0125s) [Elapsed time: 1.61 hours] modified 2020-07-07 17:30:27 created 2012-03-24 08:08:01 id 141184
field value prime_id 105801 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 1 5144952 32768 1 2>&1 [Elapsed time: 7.661 seconds] modified 2020-07-07 17:30:27 created 2012-03-24 08:18:01 id 141186
Query times: 0.0004 seconds to select prime, 0.0011 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.